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3388400656 = 241491421309
BaseRepresentation
bin1100100111110110…
…1110010000010000
322202010212120212121
43021331232100100
523414412310111
61320121104024
7146652634054
oct31175562020
98663776777
103388400656
111489733623
127a6928014
1341ccc4304
1424202bc64
1514c715871
hexc9f6e410

3388400656 has 20 divisors (see below), whose sum is σ = 6609091500. Its totient is φ = 1682828672.

The previous prime is 3388400651. The next prime is 3388400693. The reversal of 3388400656 is 6560048833.

It can be written as a sum of positive squares in 2 ways, for example, as 1074790656 + 2313610000 = 32784^2 + 48100^2 .

It is a super-2 number, since 2×33884006562 = 22962518011162460672, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3388400651) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 708271 + ... + 713038.

It is an arithmetic number, because the mean of its divisors is an integer number (330454575).

Almost surely, 23388400656 is an apocalyptic number.

It is an amenable number.

3388400656 is a deficient number, since it is larger than the sum of its proper divisors (3220690844).

3388400656 is a wasteful number, since it uses less digits than its factorization.

3388400656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1421466 (or 1421460 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 43.

The square root of 3388400656 is about 58209.9704174465. The cubic root of 3388400656 is about 1501.9826605871.

The spelling of 3388400656 in words is "three billion, three hundred eighty-eight million, four hundred thousand, six hundred fifty-six".

Divisors: 1 2 4 8 16 149 298 596 1192 2384 1421309 2842618 5685236 11370472 22740944 211775041 423550082 847100164 1694200328 3388400656